Solve Quadratic Equations by Completing the Square

Solve Quadratic Equations by Completing the Square

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

What does it mean to complete the square?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve.

3.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

4.

FLASHCARD QUESTION

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (x + p)² = x² + 2px + p².

5.

FLASHCARD QUESTION

Front

How do you complete the square for the equation x² + 6x?

Back

To complete the square, take half of the coefficient of x (which is 6), square it (9), and add it: x² + 6x + 9 = (x + 3)².

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

7.

FLASHCARD QUESTION

Front

How can you find the vertex of a parabola from the standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(x) is the quadratic function.

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?